Open Inventor Release 2024.2.0
 
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MxHexahedron20CellExtract Class Reference

MeshViz Utility class for quadratic hexahedron cells with 20 nodes. More...

#include <MeshVizXLM/extractors/MxHexahedron20CellExtract.h>

Static Public Member Functions

static MbVec3d getIsoParametricCoord (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point)
 Computes the iso parametric coordinates of the given point in the given cell with the given geometry.
 
static MbVec3d getIsoParametricCoord (size_t nodeIndex)
 Returns the iso parametric coordinate of one of the 20 nodes of a quadratic hexahedron.
 
static void getWeight (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point, std::vector< double > &weights)
 Gets the weights in the given cell of the given point.
 
static void getWeight (const MbVec3d &ipcoord, std::vector< double > &weights)
 Gets the weights of a point defined by its iso parametric coordinates.
 
static void getDerivs (const MbVec3d &ipcoord, std::vector< double > &derivs)
 Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.
 
static bool isPointInsideCell (const MiGeometryI &meshGeometry, const MiVolumeCell *hexahedronCell, const MbVec3d &point, std::vector< double > &weights)
 Checks if a point is inside or outside a quadratic hexahedron cell of 20 nodes.
 
static size_t getNodesIndexOfFacet (size_t facet, std::vector< size_t > &facetNodes)
 Gets the array of "linear" node indices belonging to a given facet.
 
static size_t getSubTriangleNodesIndex (size_t face, std::vector< size_t > &triangleNodeIds)
 Gets a triangulation of the given facet of a quadratic hexahedron of 20 nodes.
 
static size_t getSubTetrahedronNodesIndex (std::vector< size_t > &tetrahedronNodeIds)
 Gets a decomposition in sub-tetrahedra of a quadratic hexahedron of 20 nodes.
 

Detailed Description

MeshViz Utility class for quadratic hexahedron cells with 20 nodes.

Utility class that provides a static implementation of MiVolumeCell's methods for a quadratic hexahedron of 20 nodes. This class is provided to make it easier to create a class that implements the MiVolumeCell interface for a quadratic hexahedron of 20 nodes.

The following image shows the node numbering and the face numbering used by this class. The weight (see getWeight()), parametric coordinates (see getIsoParametricCoord()), and the decomposition into sub tetrahedrons (see getSubTetrahedronNodesIndex()) are defined according to this node numbering. The face decomposition (see getSubTriangleNodesIndex()) is defined according to this node and face numbering.

Nodes and faces numbering

Definition at line 62 of file MxHexahedron20CellExtract.h.

Member Function Documentation

◆ getDerivs()

static void MxHexahedron20CellExtract::getDerivs ( const MbVec3d ipcoord,
std::vector< double > &  derivs 
)
static

Gets the value of the derivatives of the shape functions (aka weights) at the point given by its iso parametric coordinates.

Parameters
[in]ipcoordThe iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [0-1]. Thus any point inside the cell has iso parametric coordinates in the interval [0-1].
[out]derivsThis method computes the 60 derivs values [0-59].
It assumes the derivs vector array has been already allocated. Its size must be set to 60 (at least) before calling this method, using for instance derivs.resize(60)

◆ getIsoParametricCoord() [1/2]

static MbVec3d MxHexahedron20CellExtract::getIsoParametricCoord ( const MiGeometryI meshGeometry,
const MiVolumeCell hexahedronCell,
const MbVec3d point 
)
static

Computes the iso parametric coordinates of the given point in the given cell with the given geometry.

As computing the iso parametric coordinates of a point needs the coordinates of the cell's nodes, the given hexahedronCell is assumed to contain 20 nodes.

Note
Each node coordinate of the given cell is retrieved in the following way:
 meshGeometry.getCoord(hexahedronCell->getNodeIndex(i)) 
for each i in the range [0-19].
Parameters
[in]meshGeometryThe geometry of the mesh.
[in]hexahedronCellThe input cell.
[in]pointThe input point given in the same space coordinate as meshGeometry.

◆ getIsoParametricCoord() [2/2]

static MbVec3d MxHexahedron20CellExtract::getIsoParametricCoord ( size_t  nodeIndex)
static

Returns the iso parametric coordinate of one of the 20 nodes of a quadratic hexahedron.

This static method helps to implement the method MiCell::getIsoParametricCoord().

Parameters
[in]nodeIndexMust be defined in the range [0-19]

◆ getNodesIndexOfFacet()

static size_t MxHexahedron20CellExtract::getNodesIndexOfFacet ( size_t  facet,
std::vector< size_t > &  facetNodes 
)
inlinestatic

Gets the array of "linear" node indices belonging to a given facet.

Parameters
[in]facetThe index of the facet (where 0 <= facet < 6).
[out]facetNodesThe array of "linear" local node indices of the facet. ( 0 <= facetNodes[i] < 20 for each i ).
Returns
The number of nodes added.

Definition at line 171 of file MxHexahedron20CellExtract.h.

◆ getSubTetrahedronNodesIndex()

static size_t MxHexahedron20CellExtract::getSubTetrahedronNodesIndex ( std::vector< size_t > &  tetrahedronNodeIds)
inlinestatic

Gets a decomposition in sub-tetrahedra of a quadratic hexahedron of 20 nodes.

This static method helps to implement the method MiVolumeCell::getSubTetrahedronNodesIndex() for a quadratic hexahedron of 20 nodes.

Parameters
[out]tetrahedronNodeIdsSub tetrahedra node ids (where: 0 <= tetrahedronNodeIds[i] < 20 for each i). this method assign the 88 node ids tetrahedronNodeIds[0-87]
Returns
22 (number of sub-tetrahedra in a quadratic hexahedron of 20 nodes)

Definition at line 199 of file MxHexahedron20CellExtract.h.

◆ getSubTriangleNodesIndex()

static size_t MxHexahedron20CellExtract::getSubTriangleNodesIndex ( size_t  face,
std::vector< size_t > &  triangleNodeIds 
)
inlinestatic

Gets a triangulation of the given facet of a quadratic hexahedron of 20 nodes.

This static method helps to implement the method MiVolumeCell::getSubTriangleNodesIndex() for a quadratic hexahedron of 20 nodes.

Parameters
[in]faceNumber of the face. (where: 0 <= face < 6 ).
[out]triangleNodeIdsSub triangle node ids (where: 0 <= triangleNodeIds[i] < 20 for each i).
Returns
The number of sub triangles in the facet of the cell.

Definition at line 185 of file MxHexahedron20CellExtract.h.

◆ getWeight() [1/2]

static void MxHexahedron20CellExtract::getWeight ( const MbVec3d ipcoord,
std::vector< double > &  weights 
)
static

Gets the weights of a point defined by its iso parametric coordinates.

This static method helps to implement the method MiCell::getWeight(ipcoord,weights) for a quadratic hexahedron of 20 nodes.

Parameters
[in]ipcoordThe iso parametric coordinates of the input point. The reference space for the iso parametric coordinates is assumed to be [0-1]. Thus any point inside the cell has iso parametric coordinates in the interval [0-1].
[out]weightsThis method computes the 20 weight values [0-19].
It assumes the weights vector array has been already allocated. Its size must be set to 20 (at least) before calling this method, using for instance weights.resize(20)

◆ getWeight() [2/2]

static void MxHexahedron20CellExtract::getWeight ( const MiGeometryI meshGeometry,
const MiVolumeCell hexahedronCell,
const MbVec3d point,
std::vector< double > &  weights 
)
inlinestatic

Gets the weights in the given cell of the given point.

This static method helps to implement the method MiCell::getWeight(meshGeometry,point,weights) for a quadratic hexahedron of 20 nodes. As computing the weights of a point needs the coordinates of the cell's nodes, the given hexahedronCell is assumed to contain 20 nodes.

Note
Each node coordinate of the given cell is retrieved in the following way:
 meshGeometry.getCoord(hexahedronCell->getNodeIndex(i)) 
for each i in the range [0-19].
Parameters
[in]meshGeometryThe geometry of the mesh.
[in]hexahedronCellThe input cell.
[in]pointThe input point given in the same space coordinate as meshGeometry.
[out]weightsThis method computes the 20 weight values [0-19]. It assumes the weights vector array has been already allocated. Its size must be set to 20 (at least) before calling this method, using for instance weights.resize(20)

Definition at line 107 of file MxHexahedron20CellExtract.h.

◆ isPointInsideCell()

static bool MxHexahedron20CellExtract::isPointInsideCell ( const MiGeometryI meshGeometry,
const MiVolumeCell hexahedronCell,
const MbVec3d point,
std::vector< double > &  weights 
)
inlinestatic

Checks if a point is inside or outside a quadratic hexahedron cell of 20 nodes.

This static method helps to implement the method MiCell::isPointInsideCell(meshGeometry,point,weights) for a quadratic hexahedron of 20 nodes.

Parameters
[in]meshGeometryThe geometry of the mesh.
[in]hexahedronCellThe input cell.
[in]pointThe input point given in the same space coordinate as meshGeometry.
[out]weightsThis method computes the 20 weights values [0-19] if the point is inside the cell. It assumes the weights vector array has been already allocated. Its size must be set to 20 (at least) before calling this method, using for instance the weights.resize(20)
Returns
true if the point is inside the cell.

Definition at line 153 of file MxHexahedron20CellExtract.h.


The documentation for this class was generated from the following file: